The curve intersects the -axis at two points

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

The curve

x = 4 - y^{2}

intersects the

y

-axis at two points. Which definite integral gives the exact area of the finite region enclosed between the curve and the

y

-axis? (a)

\displaystyle \int_{0}^{2} (4 - y^{2})\,dy

(b)

\displaystyle \int_{-2}^{2} (y^{2} - 4)\,dy

(c)

\displaystyle \int_{-2}^{2} (4 - y^{2})\,dy

(d)

\displaystyle \int_{0}^{4} (4 - y^{2})\,dy